Answer: y = -2x + 19
Step-by-step explanation:
The function formula would be: y = ax + b
The slope(a) can be found with the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]:
[tex](x_{1}, y_{1})=(6,7)\\(x_{2}, y_{2})=(9,1)[/tex]
[tex]\frac{1-7}{9-6} =\frac{-6}{3} =-2[/tex]
The y-intercept(b) can be found by substituting in values of a coordinate:
[tex](6,7)\\y=-2x+b\\7=-2(6)+b\\7=-12+b\\7+12=b\\b=19[/tex]
Therefore, the function is y = -2x + 19
